Modern Maths
Quant · 4 chapters
Set Theory and Venn Diagrams
22 lessons · 62 questions · 14 PYQs
- Two-Set Venn Problems7 lessons
Both neither · Min max both · Percent range both · Only a only b · Venn linear system · Min max with extra condition
- Three-Set Venn Problems8 lessons
Inclusion exclusion three · Exactly one two three · Max all three · Min all three · Max liking multiple · Divisibility counting venn · Venn region reading
- Set Algebra and Power Sets7 lessons
Power set cardinality · Nested power sets · Set builder counting · Cardinality in AP · Subset counting with condition · Set operations identities
Permutations and Combinations
62 lessons · 75 questions · 28 PYQs
- Counting Numbers and Words10 lessons
Digits with conditions · Divisible by 5 from set · Greater than threshold · Digit sum condition · Binary digit numbers · Repetition vs no repetition · Divisibility by 3 or 4 · Sum of numbers formed · Monotone digits
- Arrangements12 lessons
Words with restrictions · Vowels together separated · Circular with constraints · Seating not adjacent · Rank of word · Identical objects permutations · Block arrangement · Relative order · Derangements · Signals any number · Alternate seating
- Selections12 lessons
Committee with inclusion exclusion · At least one of type · Indistinguishable selection · Ncx valid values · Subsets with product condition · Selection from groups · Particular included excluded · Total selections 2n · Select then arrange · NPR NCR equations · Basic combinations
- Distribution and Partitions11 lessons
Non negative integer solutions · Positive solutions bounded · Distinct into identical boxes · Identical into distinct with caps · Inequality constrained distribution · Distinct into distinct · Identical into identical · Coin combinations · Ordered factorisations · Grouping distinct items
- Counting in Geometry and Grids11 lessons
Triangles from collinear points · Lines from points · Rectangles from parallel lines · Lattice paths · Staircase steps · Chessboard rooks · Diagonals of polygon · Squares in grid · Intersection points · Polygon triangles
- Tournaments and Handshakes6 lessons
Round robin total · Round robin with withdrawal · Knockout matches · Min teams for match count · Handshakes gifts
Probability
34 lessons · 65 questions · 17 PYQs
- Classical Probability11 lessons
Dice two · Cards · Balls without replacement · Digit divisibility · Three digit number conditions · At least one · Dice three sum · Position symmetry · Selection probability · Odds conversion
- Conditional Probability and Bayes7 lessons
Bayes truthful reporter · Conditional on sum · Conditional cards · Independent events neither · Total probability bayes · Contradiction independent
- Sequential Events and Games6 lessons
Alternating shooters · Min trials for threshold · Geometric trials · Binomial exactly k · Independent solvers
- Probability with Numbers6 lessons
Factor of power multiple · Perfect square factor · Singular matrix from digits · Divisor property · Unit digit probability
- Probability of Arrangements4 lessons
Seating separation · Circular seating · Word arrangement probability
Statistics
13 lessons · 67 questions · 7 PYQs
- Mean, Median and Mode9 lessons
Mean median mode basic · Median from grouped counts · Median mean relation · Max min under median · Mean of combined groups · Expected value stratified · Median table constraints · Corrected observation
- Range, Variance and Deviation4 lessons
Range · Variance sd basic · Effect of shift scale